Chapters
Transcript
Episode notes
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
Introduction
00:00 • 2min
The Physics of Infinity
01:36 • 3min
The Importance of Infinity
04:20 • 2min
The Concept of Sets
06:15 • 2min
The Importance of Foundations in Set Theory
07:59 • 2min
The History of Mathematics
10:03 • 2min
The Use of Infinity in Mathematical Calculus
11:49 • 2min
The Countable Integers
13:34 • 2min
The Uncountable Set of Decimal Numbers
15:56 • 2min
The Continuum Hypothesis
17:49 • 2min
The Problem With Counter Examples
19:36 • 2min
The Incomplete Axism in Mathematics
21:08 • 2min
Axioms in Mathematics
23:03 • 2min
The ZFC Axiom of Choice
24:46 • 3min
The Importance of Forcing in Set Theory
27:28 • 3min
The Non-Platonic View of the Real Numbers
30:37 • 2min
The Consensus View on the Continuum Hypothesis
33:01 • 2min
The Importance of Choice in Mathematics
34:58 • 5min
The Continuum Hypothesis and the Axiom of Choice
39:57 • 3min
The Importance of Set Theory
42:27 • 2min
The Joy of Why
44:15 • 2min